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Finding the Third Proportional to 356,405.50 and 471,104

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Solution

The third proportional to 356,405.50 and 471,104 is: 622,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,405.50 : 471,104 = 471,104 : x
  2. Step 2: Convert to fraction form
    356,405.50/471,104 = 471,104/x
  3. Step 3: Cross multiply
    356,405.50x = 471,104 × 471,104
  4. Step 4: Simplify right side
    356,405.50x = 221,938,978,816
  5. Step 5: Solve for x
    x = 221,938,978,816/356,405.50
  6. Step 6: Final answer
    x = 622,714.80

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.